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Advances in analysis : the legacy of Elias M. Stein / / edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger
Advances in analysis : the legacy of Elias M. Stein / / edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger
Autore Fefferman Charles
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , [2014]
Descrizione fisica 1 online resource (479 p.)
Disciplina 515
Altri autori (Persone) SteinElias M. <1931-2018>
FeffermanCharles <1949->
IonescuAlexandru Dan <1973->
PhongDuong H. <1953->
WaingerStephen <1936->
Collana Princeton mathematical series
Soggetto topico Mathematical analysis
Soggetto non controllato 3D
AKNS systems
Almgren minimal sets
Bergman kernels
Bochner–Riesz operator
Boltzmann equation
CTRW
Einstein equations
Einstein-vacuum equations
Eli Stein
Elias Stein
Fourier analysis
Fourier restriction operators
Fourier restriction
Fourier series
Fourier transform
Gagliardo–Nirenberg inequality
Gaussian Free Field
General Relativity
Hele-Shaw flow
Hp Spaces
Kunze–Stein phenomenon
Littlewood–Paley boundedness
Littlewood–Paley bounds
Littlewood–Paley theory
Newton polyhedra
Plateau's problem
Radon transform inequality
Radon transform
Radon transforms
Reifenberg
Stein interpolation theorem
Steiner symmetrization
admissible degree increment
affine group
applied mathematics
bounded L² curvature conjecture
classical Fourier analysis
continuous time random walks
convex hypersurfaces
correlated kernels
critical points
delicate Bessel
differential operators
div-curl
endpoint estimates
energy critical nonlinear wave equation
energy critical wave equation
evolution problems
extremizers
finite-type hypersurfaces
fluctuations
general polynomial maps
general polynomial sequences
geometric quasilinear equation
harmonic analysis
higher dimensions
higher order
holder regularity
inequalities
internal DLA
internal Diffusion-Limited Aggregation
lattice cylinder
martingales
mathematician
mathematics
maximal averages
maximal operators
model monomial domain
monomial-type domains
multi-linear multipliers
nilpotent lie groups
non-commutative nilpotent settings
oscillatory integral operators
oscillatory integrals
partial differential equations
polynomial sequences
pure mathematics
quasilinear hyperbolic system
radial Fourier multipliers
representation theory
rough kernels
selected theorems
simplexes
singular Radon transforms
size minimization problems
sliding minimal sets
soap films
soliton resolution
solitons
spherical maximal function
spherical measures
square functions
tri-linear operator
ISBN 1-4008-4893-8
Classificazione MAT034000MAT037000MAT031000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Selected Theorems by Eli Stein / Fefferman, Charles -- Chapter Two. Eli's Impact: A Case Study / Fefferman, Charles -- Chapter Three On Oscillatory Integral Operators in Higher Dimensions / Bourgain, Jean -- Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels / Caffarelli, Luis / Silvestre, Luis -- Chapter Five. Extremizers of a Radon Transform Inequality / Christ, Michael -- Chapter Six. Should We Solve Plateau's Problem Again? / David, Guy -- Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms / Ionescu, Alexandru D. / Magyar, Akos / Wainger, Stephen -- Chapter Eight. Internal DLA for Cylinders / Jerison, David / Levine, Lionel / Sheffield, Scott -- Chapter Nine. The Energy Critical Wave Equation in 3D / Kenig, Carlos -- Chapter Ten. On the Bounded L2 Curvature Conjecture / Klainerman, Sergiu -- Chapter Eleven. On Div-Curl for Higher Order / Lanzani, Loredana / Raich, Andrew S. -- Chapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers / Lee, Sanghyuk / Rogers, Keith M. / Seeger, Andreas -- Chapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra / Müller, Detlef -- Chapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length / Muscalu, Camil / Tao, Terence / Thiele, Christoph -- Chapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains / Nagel, Alexander / Pramanik, Malabika -- Chapter Sixteen. On the Singularities of the Pluricomplex Green's Function / Phong, D. H. / Sturm, Jacob -- Chapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs / Ricci, Fulvio -- Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature / Sogge, Christopher D. / Zelditch, Steve -- List of Contributors -- Index
Record Nr. UNINA-9910790854903321
Fefferman Charles  
Princeton, New Jersey : , : Princeton University Press, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advances in analysis : the legacy of Elias M. Stein / / edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger
Advances in analysis : the legacy of Elias M. Stein / / edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger
Autore Fefferman Charles
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , [2014]
Descrizione fisica 1 online resource (479 p.)
Disciplina 515
Altri autori (Persone) SteinElias M. <1931-2018>
FeffermanCharles <1949->
IonescuAlexandru Dan <1973->
PhongDuong H. <1953->
WaingerStephen <1936->
Collana Princeton mathematical series
Soggetto topico Mathematical analysis
Soggetto non controllato 3D
AKNS systems
Almgren minimal sets
Bergman kernels
Bochner–Riesz operator
Boltzmann equation
CTRW
Einstein equations
Einstein-vacuum equations
Eli Stein
Elias Stein
Fourier analysis
Fourier restriction operators
Fourier restriction
Fourier series
Fourier transform
Gagliardo–Nirenberg inequality
Gaussian Free Field
General Relativity
Hele-Shaw flow
Hp Spaces
Kunze–Stein phenomenon
Littlewood–Paley boundedness
Littlewood–Paley bounds
Littlewood–Paley theory
Newton polyhedra
Plateau's problem
Radon transform inequality
Radon transform
Radon transforms
Reifenberg
Stein interpolation theorem
Steiner symmetrization
admissible degree increment
affine group
applied mathematics
bounded L² curvature conjecture
classical Fourier analysis
continuous time random walks
convex hypersurfaces
correlated kernels
critical points
delicate Bessel
differential operators
div-curl
endpoint estimates
energy critical nonlinear wave equation
energy critical wave equation
evolution problems
extremizers
finite-type hypersurfaces
fluctuations
general polynomial maps
general polynomial sequences
geometric quasilinear equation
harmonic analysis
higher dimensions
higher order
holder regularity
inequalities
internal DLA
internal Diffusion-Limited Aggregation
lattice cylinder
martingales
mathematician
mathematics
maximal averages
maximal operators
model monomial domain
monomial-type domains
multi-linear multipliers
nilpotent lie groups
non-commutative nilpotent settings
oscillatory integral operators
oscillatory integrals
partial differential equations
polynomial sequences
pure mathematics
quasilinear hyperbolic system
radial Fourier multipliers
representation theory
rough kernels
selected theorems
simplexes
singular Radon transforms
size minimization problems
sliding minimal sets
soap films
soliton resolution
solitons
spherical maximal function
spherical measures
square functions
tri-linear operator
ISBN 1-4008-4893-8
Classificazione MAT034000MAT037000MAT031000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Selected Theorems by Eli Stein / Fefferman, Charles -- Chapter Two. Eli's Impact: A Case Study / Fefferman, Charles -- Chapter Three On Oscillatory Integral Operators in Higher Dimensions / Bourgain, Jean -- Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels / Caffarelli, Luis / Silvestre, Luis -- Chapter Five. Extremizers of a Radon Transform Inequality / Christ, Michael -- Chapter Six. Should We Solve Plateau's Problem Again? / David, Guy -- Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms / Ionescu, Alexandru D. / Magyar, Akos / Wainger, Stephen -- Chapter Eight. Internal DLA for Cylinders / Jerison, David / Levine, Lionel / Sheffield, Scott -- Chapter Nine. The Energy Critical Wave Equation in 3D / Kenig, Carlos -- Chapter Ten. On the Bounded L2 Curvature Conjecture / Klainerman, Sergiu -- Chapter Eleven. On Div-Curl for Higher Order / Lanzani, Loredana / Raich, Andrew S. -- Chapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers / Lee, Sanghyuk / Rogers, Keith M. / Seeger, Andreas -- Chapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra / Müller, Detlef -- Chapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length / Muscalu, Camil / Tao, Terence / Thiele, Christoph -- Chapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains / Nagel, Alexander / Pramanik, Malabika -- Chapter Sixteen. On the Singularities of the Pluricomplex Green's Function / Phong, D. H. / Sturm, Jacob -- Chapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs / Ricci, Fulvio -- Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature / Sogge, Christopher D. / Zelditch, Steve -- List of Contributors -- Index
Record Nr. UNINA-9910809083303321
Fefferman Charles  
Princeton, New Jersey : , : Princeton University Press, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller
Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller
Autore Ikromov Isroil A. <1961->
Pubbl/distr/stampa Princeton : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (269 p.)
Disciplina 516.3/52
Collana Annals of mathematics studies
Soggetto topico Hypersurfaces
Polyhedra
Surfaces, Algebraic
Fourier analysis
Soggetto non controllato Airy cone
Airy-type analysis
Airy-type decompositions
Fourier decay
Fourier integral
Fourier restriction estimate
Fourier restriction problem
Fourier restriction theorem
Fourier restriction
Fourier transform
Greenleaf's restriction
Lebesgue spaces
LittlewoodАaley decomposition
LittlewoodАaley theory
Newton polyhedra
Newton polyhedral
Newton polyhedron
SteinДomas-type Fourier restriction
auxiliary results
complex interpolation
dyadic decomposition
dyadic decompositions
dyadic domain decompositions
endpoint estimates
endpoint result
improved estimates
interpolation arguments
interpolation theorem
invariant description
linear coordinates
linearly adapted coordinates
normalized measures
normalized rescale measures
one-dimensional oscillatory integrals
open cases
operator norms
phase functions
preparatory results
principal root jet
propositions
r-height
real interpolation
real-analytic hypersurface
refined Airy-type analysis
restriction estimates
restriction
smooth hypersurface
smooth hypersurfaces
spectral localization
stopping-time algorithm
sublevel type
thin sets
three dimensions
transition domains
uniform bounds
van der Corput-type estimates
ISBN 1-4008-8124-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Auxiliary Results -- Chapter 3. Reduction to Restriction Estimates near the Principal Root Jet -- Chapter 4. Restriction for Surfaces with Linear Height below 2 -- Chapter 5. Improved Estimates by Means of Airy-Type Analysis -- Chapter 6. The Case When hlin(Φ) ≥ 2: Preparatory Results -- Chapter 7. How to Go beyond the Case hlin(Φ) ≥ 5 -- Chapter 8. The Remaining Cases Where m = 2 and B = 3 or B = 4 -- Chapter 9. Proofs of Propositions 1.7 and 1.17 -- Bibliography -- Index
Record Nr. UNINA-9910798386803321
Ikromov Isroil A. <1961->  
Princeton : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller
Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller
Autore Ikromov Isroil A. <1961->
Pubbl/distr/stampa Princeton : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (269 p.)
Disciplina 516.3/52
Collana Annals of mathematics studies
Soggetto topico Hypersurfaces
Polyhedra
Surfaces, Algebraic
Fourier analysis
Soggetto non controllato Airy cone
Airy-type analysis
Airy-type decompositions
Fourier decay
Fourier integral
Fourier restriction estimate
Fourier restriction problem
Fourier restriction theorem
Fourier restriction
Fourier transform
Greenleaf's restriction
Lebesgue spaces
LittlewoodАaley decomposition
LittlewoodАaley theory
Newton polyhedra
Newton polyhedral
Newton polyhedron
SteinДomas-type Fourier restriction
auxiliary results
complex interpolation
dyadic decomposition
dyadic decompositions
dyadic domain decompositions
endpoint estimates
endpoint result
improved estimates
interpolation arguments
interpolation theorem
invariant description
linear coordinates
linearly adapted coordinates
normalized measures
normalized rescale measures
one-dimensional oscillatory integrals
open cases
operator norms
phase functions
preparatory results
principal root jet
propositions
r-height
real interpolation
real-analytic hypersurface
refined Airy-type analysis
restriction estimates
restriction
smooth hypersurface
smooth hypersurfaces
spectral localization
stopping-time algorithm
sublevel type
thin sets
three dimensions
transition domains
uniform bounds
van der Corput-type estimates
ISBN 1-4008-8124-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Auxiliary Results -- Chapter 3. Reduction to Restriction Estimates near the Principal Root Jet -- Chapter 4. Restriction for Surfaces with Linear Height below 2 -- Chapter 5. Improved Estimates by Means of Airy-Type Analysis -- Chapter 6. The Case When hlin(Φ) ≥ 2: Preparatory Results -- Chapter 7. How to Go beyond the Case hlin(Φ) ≥ 5 -- Chapter 8. The Remaining Cases Where m = 2 and B = 3 or B = 4 -- Chapter 9. Proofs of Propositions 1.7 and 1.17 -- Bibliography -- Index
Record Nr. UNINA-9910815039003321
Ikromov Isroil A. <1961->  
Princeton : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui